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A298142 Number of nX4 0..1 arrays with every element equal to 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. 2

%I #4 Jan 13 2018 11:22:18

%S 0,1,2,8,13,27,43,104,220,478,988,2085,4451,9505,20311,43151,91982,

%T 195977,418524,892675,1904782,4063008,8670687,18504003,39492308,

%U 84283520,179879444,383917687,819414074,1748947386,3732920854,7967557278

%N Number of nX4 0..1 arrays with every element equal to 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A298146.

%H R. H. Hardin, <a href="/A298142/b298142.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +2*a(n-2) -4*a(n-3) +3*a(n-4) -10*a(n-6) -2*a(n-7) -4*a(n-8) +11*a(n-9) +8*a(n-10) -2*a(n-11) +2*a(n-12) -2*a(n-13) -2*a(n-14) +12*a(n-15) -a(n-16) -6*a(n-17) +a(n-18) -4*a(n-19) +a(n-21) for n>27

%e Some solutions for n=7

%e ..0..0..0..0. .0..0..1..1. .0..0..1..1. .0..0..0..0. .0..0..0..0

%e ..0..1..1..0. .0..1..0..1. .0..1..0..1. .0..1..1..0. .0..1..1..0

%e ..0..1..0..1. .0..1..0..1. .1..0..1..0. .0..1..0..1. .0..1..0..1

%e ..0..1..0..1. .1..0..1..0. .1..0..1..0. .0..1..0..1. .0..1..0..1

%e ..0..1..0..1. .1..0..1..0. .1..0..1..0. .0..1..0..1. .0..1..0..1

%e ..0..1..0..1. .1..0..0..1. .0..1..0..1. .1..0..0..1. .0..1..1..0

%e ..0..0..1..1. .1..1..1..1. .0..0..1..1. .1..1..1..1. .0..0..0..0

%Y Cf. A298146.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 13 2018

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Last modified April 16 08:27 EDT 2024. Contains 371698 sequences. (Running on oeis4.)